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Finding the Fourth Proportional to 2,732.74, 3,770.29 and 1,613.30

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Solution

The fourth proportional to 2,732.74, 3,770.29 and 1,613.30 is: 2,225.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.74 : 3,770.29 = 1,613.30 : x
  2. Step 2: Convert to fraction form
    2,732.74/3,770.29 = 1,613.30/x
  3. Step 3: Cross multiply
    2,732.74x = 3,770.29 × 1,613.30
  4. Step 4: Simplify right side
    2,732.74x = 6,082,608.86
  5. Step 5: Solve for x
    x = 6,082,608.86/2,732.74
  6. Step 6: Final answer
    x = 2,225.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.